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PS - Mathe Set 24

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PS - Mathe Set 24

by f2001290 » Tue Jun 12, 2007 1:42 pm
The sides of a square region, measured to the
nearest centimeter, are 6 centimeters long. The
least possible value of the actual area of the
square region is
A.36.00 sq cm
B.35.00 sq cm
C.33.75 sq cm
D.30.25 sq cm
E.25.00 sq cm

I chose D,but the answer turned out to be C. Any explanation.
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by Sadowski » Tue Jun 12, 2007 2:37 pm
Why wouldn't the answer be 25.00? If the sides are rounded to 6 centimeters, then the sides have to be between 5.5 and 6.4. To get 25, the sides would have to be 5 exactly, which doesn't fall in the rounding range.

Since 5.5*5.5 = 30.25, anything at 30.25 and above up to 36 should be possible given the conditions.

Anyone else agree?
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